Results 41 to 50 of about 101 (89)

A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities

Advanced Nonlinear Studies, 2023
This article deals with existence of solutions to the following fractional pp-Laplacian system of equations: (−Δp)su=∣u∣ps*−2u+γαps*∣u∣α−2u∣v∣βinΩ,(−Δp)sv=∣v∣ps*−2v+γβps*∣v∣β−2v∣u∣αinΩ,\left\{\begin{array}{l}{\left(-{\Delta }_{p})}^{s}u={| u| }^{{p}_{s}^{
Bhakta Mousomi, Perera Kanishka, Sk Firoj   +2 more
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Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case

Advances in Nonlinear Analysis, 2015
We study the nonlinear elliptic system of Lane–Emden type -Δu = sgn(v) |v|p-1 in Ω, -Δv = f(x,u) in Ω, u = v = 0 on ∂Ω, where Ω is an open bounded subset of ℝN, N ≥ 2, p > 1 and f : Ω × ℝ → ℝ is a Carathéodory function satisfying suitable growth ...
Barile Sara, Salvatore Addolorata
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Multiplicity of weak solutions for a class of non-homogeneous anisotropic elliptic systems

We study the existence of infinitely many weak solutions for a new class of nonhomogeneous Neumann elliptic systems involving operators that extend both generalized Laplace operators and generalized mean curvature operators in the framework of ...
AHMED, Ahmed, ELEMINE VALL, Mohamed Saad Bouh   +1 more
core   +1 more source

Ground State Solutions for the Nonlinear Schrödinger–Bopp–Podolsky System with Critical Sobolev Exponent

Advanced Nonlinear Studies, 2020
In this paper, we study the existence of ground state solutions for the nonlinear Schrödinger–Bopp–Podolsky system with critical Sobolev ...
Li Lin, Pucci Patrizia, Tang Xianhua
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(p,Q) systems with critical singular exponential nonlinearities in the Heisenberg group

Open Mathematics, 2020
The paper deals with the existence of solutions for (p,Q)(p,Q) coupled elliptic systems in the Heisenberg group, with critical exponential growth at infinity and singular behavior at the origin.
Pucci Patrizia, Temperini Letizia
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On the Global Stability of Compressible Elastic Cylinders in Tension

, 2020
Consider a three-dimensional, homogeneous, compressible, hyperelastic body that occupies a cylindrical domain in its reference configuration. We identify a variety of hypotheses on the structure of the stored-energy function under which there exists an ...
Jeyabal Sivaloganathan, Scott J Spector
core  

Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities

Advances in Nonlinear Analysis
In this article, we study the following quasilinear equation with nonlocal nonlinearity −Δu−κuΔ(u2)+λu=(∣x∣−μ*F(u))f(u),inRN,-\Delta u-\kappa u\Delta \left({u}^{2})+\lambda u=\left({| x| }^{-\mu }* F\left(u))f\left(u),\hspace{1em}\hspace{0.1em}\text{in ...
Jia Yue, Yang Xianyong
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On a class of critical elliptic systems in ℝ4

Advances in Nonlinear Analysis, 2020
In the present paper, we consider the following classes of elliptic systems with Sobolev critical growth:
Zhao Xin, Zou Wenming
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Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth

Advances in Nonlinear Analysis, 2020
In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

Advances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
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